Math 2.0

Real functions Concept

Saddle point

Builds on Local maximum and minimumGradient

Summary

A saddle point of a differentiable function of several variables is a critical point that is not a local extremum. Near a saddle point, the function takes values both larger and smaller than its value at the point.

Reading path

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptTotal derivative, concept, no evidence levelTotal derivativeconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptDifferentiable function of several variables, concept, no evidence levelDifferentiable functi…conceptLocal maximum and minimum, concept, no evidence levelLocal maximum and min…conceptPartial derivative, concept, no evidence levelPartial derivativeconceptGradient, concept, no evidence levelGradientconceptSaddle point, concept, no evidence levelSaddle pointconcept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Total derivative concept
  4. Function of several variables concept
  5. Differentiable function of several variables concept
  6. Local maximum and minimum concept
  7. Partial derivative concept
  8. Gradient concept
  9. Saddle point concept

Where this leads

2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Saddle_point, lead section
About this page
Tag0JW6MDHAZD
URIm2://0JW6MDHAZD
Aliasesminimax-point
Kindconcept
WritingW1 stated
MSC26B05
SpecializesCritical point
UsesLocal maximum and minimum, Gradient
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